What is the Greatest Common Factor of 69054 and 69068?

Greatest common factor (GCF) of 69054 and 69068 is 2.

GCF(69054,69068) = 2

We will now calculate the prime factors of 69054 and 69068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69054 and 69068.

How to find the GCF of 69054 and 69068?

We will first find the prime factorization of 69054 and 69068. After we will calculate the factors of 69054 and 69068 and find the biggest common factor number .

Step-1: Prime Factorization of 69054

Prime factors of 69054 are 2, 3, 17, 677. Prime factorization of 69054 in exponential form is:

69054 = 2¹ × 3¹ × 17¹ × 677¹

Step-2: Prime Factorization of 69068

Prime factors of 69068 are 2, 31, 557. Prime factorization of 69068 in exponential form is:

69068 = 2² × 31¹ × 557¹

Step-3: Factors of 69054

List of positive integer factors of 69054 that divides 69054 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 677, 1354, 2031, 4062, 11509, 23018, 34527

Step-4: Factors of 69068

List of positive integer factors of 69068 that divides 69054 without a remainder.

1, 2, 4, 31, 62, 124, 557, 1114, 2228, 17267, 34534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69054 and 69068. The biggest common factor number is the GCF number.
So the greatest common factor 69054 and 69068 is 2.

Also check out the Least Common Multiple of 69054 and 69068